By considering the influence of renewable energy sources (RESs) integration on multi-area interconnected hybrid power systems, this paper proposes an equivalent input disturbance (EID)-based load frequency control (LFC) strategy, which can effectively overcome the factors of random disturbance, model uncertainties and communication delay. First, an equivalent mathematical LFC model of an interconnected system is constructed. Then, the proposed robust controllers, based on the idea of EID, are designed to suppress the randomness and volatility of the renewable energy grid connection and coordinate the frequency fluctuation of the interconnected power system. Finally, the validity and superiority of the established topology structure and the superiority of the proposed strategy are demonstrated by dynamic time domain response experiments under the condition of high penetration of renewable energy.